Atkin-Lehner |
2+ 3+ 5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550a |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
419121000000 = 26 · 33 · 56 · 192 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218225,-39328875] |
[a1,a2,a3,a4,a6] |
Generators |
[1690:65655:1] |
Generators of the group modulo torsion |
j |
73556372280592657/26823744 |
j-invariant |
L |
3.0565535604074 |
L(r)(E,1)/r! |
Ω |
0.22088853737853 |
Real period |
R |
3.4593846402103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996950298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902l1 |
Quadratic twists by: 5 |